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Finding the Fourth Proportional to 474,776.54, 712,164.80 and 159,232.54

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Solution

The fourth proportional to 474,776.54, 712,164.80 and 159,232.54 is: 238,848.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,776.54 : 712,164.80 = 159,232.54 : x
  2. Step 2: Convert to fraction form
    474,776.54/712,164.80 = 159,232.54/x
  3. Step 3: Cross multiply
    474,776.54x = 712,164.80 × 159,232.54
  4. Step 4: Simplify right side
    474,776.54x = 113,399,810,002.59
  5. Step 5: Solve for x
    x = 113,399,810,002.59/474,776.54
  6. Step 6: Final answer
    x = 238,848.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.